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Finding the Third Proportional to 214,462,083.80 and 331,398,606.45

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Solution

The third proportional to 214,462,083.80 and 331,398,606.45 is: 512,095,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,462,083.80 : 331,398,606.45 = 331,398,606.45 : x
  2. Step 2: Convert to fraction form
    214,462,083.80/331,398,606.45 = 331,398,606.45/x
  3. Step 3: Cross multiply
    214,462,083.80x = 331,398,606.45 × 331,398,606.45
  4. Step 4: Simplify right side
    214,462,083.80x = 109,825,036,353,900,096
  5. Step 5: Solve for x
    x = 109,825,036,353,900,096/214,462,083.80
  6. Step 6: Final answer
    x = 512,095,352.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.